On Port-Hamiltonian Formulation of Hysteretic Energy Storage Elements: The Backlash Case

This research develops a port-Hamiltonian framework for modeling hysteretic energy storage elements, specifically focusing on backlash systems where current depends on input history. The method uses a family of storage functions to incorporate hysteresis into structured energy-based models, successfully expressing the system as a port-Hamiltonian system with nonlinear dissipation.

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